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Bibliographic Details
Main Authors:	Masqué, Jaime Muñoz, Coronado, Luis Miguel Pozo
Format:	Preprint
Published:	2024
Subjects:	Symplectic Geometry Primary: 15A21, Secondary: 15A63, 15A75, 20G15
Online Access:	https://arxiv.org/abs/2412.03135
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Table of Contents:

Let $\mathbb{F}$ be a field of characteristic $\neq 2$ and $3$, let $V$ be a $\mathbb{F}$-vector space of dimension $6$, and let $Ω\in \wedge ^2V^\ast $ be a non-degenerate form. A system of generators for polynomial invariant functions under the tensorial action of the group $Sp(Ω)$ on $\wedge ^3 V^\ast $, is given explicitly. Applications of these results to the normal forms of De Bruyn-Kwiatkowski and Popov are given.